Zobrazeno 1 - 10
of 25
pro vyhledávání: '"Filho, Roberto de A. Capistrano"'
We study the linear Zakharov--Kuznetsov equation with periodic boundary conditions. Employing some tools from the nonharmonic Fourier series we obtain several internal observability theorems. Then we prove various exact controllability and rapid unif
Externí odkaz:
http://arxiv.org/abs/2311.09844
The $abcd$-Boussinesq system is a model of two equations that can describe the propagation of small-amplitude long waves in both directions in the water of finite depth. Considering the Hamiltonian regimes, where the parameters $b$ and $d$ in the sys
Externí odkaz:
http://arxiv.org/abs/2306.17335
In this work, we are interested in a detailed qualitative analysis of the Kawahara equation, a model that has numerous physical motivations such as magneto-acoustic waves in a cold plasma and gravity waves on the surface of a heavy liquid. First, we
Externí odkaz:
http://arxiv.org/abs/2305.18586
Control properties of the Kawahara equation are considered when the equation is posed on an unbounded domain. Precisely, the paper's main results are related to an approximation theorem that ensures the exact (internal) controllability in $(0,+\infty
Externí odkaz:
http://arxiv.org/abs/2305.12089
We study the asymptotic behavior of the solutions of the time-delayed higher-order dispersive nonlinear differential equation \begin{equation*} u_t(x,t)+Au(x,t) +\lambda_0(x) u(x,t)+\lambda(x) u(x,t-\tau )=0 \end{equation*} where \begin{equation*} Au
Externí odkaz:
http://arxiv.org/abs/2303.06693
This paper deals with the stabilization of the linear Biharmonic Schr\"odinger equation in an $n$-dimensional open bounded domain under Dirichlet-Neumann boundary conditions considering three infinite memory terms as damping mechanisms. We show that
Externí odkaz:
http://arxiv.org/abs/2301.10310
This article will deal with the stabilization problem for the higher-order dispersive system, commonly called the Kawahara equation. To do so, we introduce a damping mechanism via a distributed memory term in the equation to prove that the solutions
Externí odkaz:
http://arxiv.org/abs/2212.02427
Publikováno v:
Math. Meth. Appl. Sci. 46 (2023), 15162-15185
In this manuscript we consider the internal control problem for the fifth order KdV type equation, commonly called the Kawahara equation, on unbounded domains. Precisely, under certain hypotheses over the initial and boundary data, we are able to pro
Externí odkaz:
http://arxiv.org/abs/2110.08803
Publikováno v:
Communications in Contemporary Mathematics (2023)
This paper studies the exponential stabilization of a Boussinesq system describing the two-way propagation of small amplitude gravity waves on the surface of an ideal fluid, the so-called Boussinesq system of the Korteweg-de Vries type. We use a Gram
Externí odkaz:
http://arxiv.org/abs/2104.09636
Publikováno v:
Journal of Mathematical Analysis and Applications 506 1 2022
In recent years, controllability problems for dispersive systems have been extensively studied. This work is dedicated to proving a new type of controllability for a dispersive fifth order equation that models water waves, what we will now call the o
Externí odkaz:
http://arxiv.org/abs/2103.08495